Resolver (10^-32)^2/2*10^-5

$$\frac { ( 10 ^ { - 32 } ) ^ { 2 } } { 2 \times 10 ^ { - 5 } }$$

Avaliar

$$\frac{1}{200000000000000000000000000000000000000000000000000000000000}=5 \cdot 10^{-60}$$

Passos Para a Resolução

Para aumentar uma potência para outra potência, multiplique os expoentes. Multiplique -32 e 2 para obter -64.

$$\frac{10^{-64}}{2\times 10^{-5}}$$

Para dividir as potências da mesma base, subtraia o exponente do numerador do exponente do denominador.

$$\frac{1}{2\times 10^{59}}$$

Calcule 10 elevado a 59 e obtenha 100000000000000000000000000000000000000000000000000000000000.

$$\frac{1}{2\times 100000000000000000000000000000000000000000000000000000000000}$$

Multiplique 2 e 100000000000000000000000000000000000000000000000000000000000 para obter 200000000000000000000000000000000000000000000000000000000000.

$$\frac{1}{200000000000000000000000000000000000000000000000000000000000}$$

Fatorizar

$$\frac{1}{2 ^ {60} \cdot 5 ^ {59}} = 5 \times 10^{-60}$$